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Understanding Intuitionism

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Understanding Intuitionism by Edward Nelson Department of Mathematics Princeton University Intuitionism was the creation of L. E. J. Brouwer [Br], and I like to think that classical mathematics was the creation of Pythagoras. Imag- ine a conversation between a classical mathematician and an intuitionist, say a woman and a man respectively. She speaks first: I have just proved ∃xA. Congratulations! What is it? I don't know. I assumed ∀x¬A and derived a contradiction.
  • classical formulas
  • equality axioms
  • intuitionistic semantics
  • substitution axiom schemes of the predicate calculus
  • time to time for input
  • proof
  • rules
  • 3 c.
  • c.

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Language English
Document size 1 MB
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